Question

Deduce the group that is obtained by adding or deleting the indicated symmetry operation from each of the following groups.
a. C3 + i
b. C3v + i
c. C5v + σh
d. D. S6 – i
e. Td+ i
f. C3 + S6

Answer 1

Here, in above question we need to deduce the group for above combination

(a)$C_3+ i$ ,

here this represent Element E(C₃) and i represent inversion and it belongs to point group.

(b) $C_{3v} +i$

this represents frequent in which 3 vertical planes are present with v represent the vertical axis

(c) $C_{5v} + \sigma_h$

It lies in point group $C_{nh}$

(d)$D.S_6 -i$

this represent point group $S_n$

(e)$T_d+i$ this represents the Cubic groups $T_d$

(f) $C_3 + S_6$ this represents summation of $C_n and S_n$ group